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Finding the Fourth Proportional to 328.60, 492.08 and 184.16

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Solution

The fourth proportional to 328.60, 492.08 and 184.16 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.60 : 492.08 = 184.16 : x
  2. Step 2: Convert to fraction form
    328.60/492.08 = 184.16/x
  3. Step 3: Cross multiply
    328.60x = 492.08 × 184.16
  4. Step 4: Simplify right side
    328.60x = 90,621.45
  5. Step 5: Solve for x
    x = 90,621.45/328.60
  6. Step 6: Final answer
    x = 275.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.